A fixed point approach to the stability of a general mixed additive-cubic equation on Banach modules

DOI10.1016/S0252-9602(12)60067-8zbMath1274.39070MaRDI QIDQ1954058

Wan Xin Xu, Tian-Zhou Xu, John Michael S. Rassias

Publication date: 20 June 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

fixed-pointunital Banach algebraBanach modulegeneralized metric spacegeneralized Hyers-Ulam stabilityJMRassias mixed product-sum of powers of normsmixed additive-cubic equation

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functional equations for functions with more general domains and/or ranges (39B52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

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